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Finding the Fourth Proportional to 2,577.87, 3,556.13 and 1,632.06

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Solution

The fourth proportional to 2,577.87, 3,556.13 and 1,632.06 is: 2,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.87 : 3,556.13 = 1,632.06 : x
  2. Step 2: Convert to fraction form
    2,577.87/3,556.13 = 1,632.06/x
  3. Step 3: Cross multiply
    2,577.87x = 3,556.13 × 1,632.06
  4. Step 4: Simplify right side
    2,577.87x = 5,803,817.53
  5. Step 5: Solve for x
    x = 5,803,817.53/2,577.87
  6. Step 6: Final answer
    x = 2,251.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.